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Finding the Fourth Proportional to 24,256.29, 33,473.55 and 13,646

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Solution

The fourth proportional to 24,256.29, 33,473.55 and 13,646 is: 18,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,256.29 : 33,473.55 = 13,646 : x
  2. Step 2: Convert to fraction form
    24,256.29/33,473.55 = 13,646/x
  3. Step 3: Cross multiply
    24,256.29x = 33,473.55 × 13,646
  4. Step 4: Simplify right side
    24,256.29x = 456,780,063.30
  5. Step 5: Solve for x
    x = 456,780,063.30/24,256.29
  6. Step 6: Final answer
    x = 18,831.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.